Question

Write the slope intercept form of the line through thr point (3,5) with slope 1/2

Answer 1

The equation of the line in slope intercept form is;

`y=(1)/(2)x+(7)/(2)`

Step-by-step explanation:

Given the slope of the line and a point on the line;

`\begin{gathered} m=(1)/(2) \\ (x_1,y_1)=(3,5) \end{gathered}`

Using the point slope formula;

`y-y_1=m(x-x_1)`

Substituting the given values;

`\begin{gathered} y-y_1=m(x-x_1) \\ y-5=(1)/(2)(x-3) \\ y-5=(1)/(2)x-(3)/(2) \\ y=(1)/(2)x-(3)/(2)+5 \\ y=(1)/(2)x-(3)/(2)+(10)/(2) \\ y=(1)/(2)x+(7)/(2) \end{gathered}`

Therefore, the equation of the line in slope intercept form is;

`y=(1)/(2)x+(7)/(2)`